Tangled Cord of FTTM 4

Noorsufia Abd Shukor, Tahir Ahmad (), Mujahid Abdullahi (), Amidora Idris and Siti Rahmah Awang
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Noorsufia Abd Shukor: Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai 81300, Johor, Malaysia
Tahir Ahmad: Malaysian Mathematical Sciences Society, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Mujahid Abdullahi: Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai 81300, Johor, Malaysia
Amidora Idris: Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai 81300, Johor, Malaysia
Siti Rahmah Awang: Department of Management and Technology, Faculty of Management, Universiti Teknologi Malaysia, Skudai 81310, Johor, Malaysia

Mathematics, 2023, vol. 11, issue 12, 1-25

Abstract: Fuzzy Topological Topographic Mapping (FTTM) is a mathematical model that consists of a set of homeomorphic topological spaces designed to solve the neuro magnetic inverse problem. A sequence of FTTM, denoted as F T T M n , is an extension of FTTM that is arranged in a symmetrical form. The special characteristic of FTTM, namely the homeomorphisms between its components, allows the generation of new FTTM. Later, the F T T M n can also be viewed as a graph. Previously, a group of researchers defined an assembly graph and utilized it to model a DNA recombination process. Some researchers then used this to introduce the concept of tangled cords for assembly graphs. In this paper, the tangled cord for F T T M 4 is used to calculate the Eulerian paths. Furthermore, it is utilized to determine the least upper bound of the Hamiltonian paths of its assembly graph. Hence, this study verifies the conjecture made by Burns et al.

Keywords: fuzzy topographic topological mapping; assembly graph; Hamiltonian path; tangled cord (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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